English

Relations between exponential tails, moments and moment generating functions for random variables and vectors

Functional Analysis 2017-01-10 v1

Abstract

We offer in this paper the non-asymptotical pairwise bilateral exact up to multiplicative constants interrelations between exponential decreasing tail behavior, moments (Grand Lebesgue Spaces) norm and moment generating functions norm for random variables and vectors (r.v.).

Keywords

Cite

@article{arxiv.1701.01901,
  title  = {Relations between exponential tails, moments and moment generating functions for random variables and vectors},
  author = {Yu. V. Kozachenko and E. Ostrovsky and L. Sirota},
  journal= {arXiv preprint arXiv:1701.01901},
  year   = {2017}
}

Comments

arXiv admin note: text overlap with arXiv:1510.08945, arXiv:1510.04182

R2 v1 2026-06-22T17:43:50.588Z